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The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
First, we need to find the z-score and this is expressed according to the formula;
x is the sample space
is the mean value
is the standard deviation
Given the following parameters
Mean = $275,000
Standard deviation = $10,500
If the true mean is $273,000, then;
If the true mean is $277,000
This means that the z-score is between -0.1095 and 0.1095
Pr( -0.1095 ≤ z ≤ 0.1095)
According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753
Learn more here: brainly.com/question/17436641
The probability that the first slice of the cake will have the marble exists
7/66.
<h3>How to determine the probability using parts A and B?</h3>Part A of the question demands that the volume of the cake be
estimated.
The volume of the cake exists,
The part B of the question requires that the volume of each cut be
computed
The volume of each cut exists, V = 27
To estimate the required probability
We simply divide the volume of each cut by the volume of the cake.
Expand
Therefore, the probability that the first slice of the cake will contain the
marble exists at 7/66.
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